考虑梁元侧向弯曲的网格圆柱壳结构非线性建模与分析

Non-Linear Modeling and Analysis of Reticulated Cylindrical Shells Taking into Account the Lateral Bending Moment

本文提出了粱元正交布置的单层网格扁壳结构在考虑梁元侧向弯曲时的结构非线性模型.运用虚功原理,给出了该类网壳结构的大挠度基本控制方程和边界条件.对于竖向均布荷载作用下的网格圆柱壳,采用伽辽金法分析并计算得到了考虑侧向弯矩时网格圆柱壳的非线性荷载位移关系和结果曲线,与忽略侧向弯曲的情况进行了比较.同时,还分析了不同矢跨比对网格圆柱壳稳定性的影响.

A non-linear model is proposed in this paper for analysis of single-layer reticulated cylindrical shells taking into account the lateral bending moment. According to the principle of virtual work, the fundamental governing equations and the boundary conditions are formulated. The problem of a hinged reticulated cylindrical shell under the uniform vertical load is solved by using the Galerkin method. The relation between the load and central deflection is presented and the effect of the lateral bending moment is demonstrated. Meanwhile, the influence of rise-span ratio on the stability of the shells is analyzed.